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Finding the Fourth Proportional to 569,405.12, 785,751.92 and 311,295.38

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Solution

The fourth proportional to 569,405.12, 785,751.92 and 311,295.38 is: 429,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,405.12 : 785,751.92 = 311,295.38 : x
  2. Step 2: Convert to fraction form
    569,405.12/785,751.92 = 311,295.38/x
  3. Step 3: Cross multiply
    569,405.12x = 785,751.92 × 311,295.38
  4. Step 4: Simplify right side
    569,405.12x = 244,600,942,522.13
  5. Step 5: Solve for x
    x = 244,600,942,522.13/569,405.12
  6. Step 6: Final answer
    x = 429,572.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.